Problem: Solve the following equation for the variable u: 122 = 92 + 28 * u

Llama 3 70B:

To solve for u, I'll start by subtracting 92 from both sides of the equation:

122 = 92 + 28u
122 - 92 = 28u
30 = 28u

Next, I'll divide both sides of the equation by 28 to isolate u:

30/28 = u
u = 30/28
u = 15/14

### Answer: 15/14

Expected answer: 15/14

Correct? Yes

Problem: Solve the following equation for i: 42 = ((35 * i) - 34)

Llama 3 70B:

To solve for i, I'll start by adding 34 to both sides of the equation:

42 = ((35 * i) - 34)
42 + 34 = 35 * i
76 = 35 * i

Next, I'll divide both sides of the equation by 35:

76 / 35 = i
i = 76 / 35
i = 2.2

### Answer: 2.2

Expected answer: 76/35

Correct? No

Problem: Solve the following equation to find the value of r: 94 = 41 + 6 * r

Llama 3 70B:

To solve for r, I'll start by subtracting 41 from both sides of the equation:

94 - 41 = 6r
53 = 6r

Next, I'll divide both sides of the equation by 6:

53/6 = r
r = 53/6
r = 8.83 (approximately)

### Answer: 8.83

Expected answer: 53/6

Correct? No

Problem: Determine the value of "i" from the following equation: 158 = ((19 * i) + 94)

Llama 3 70B:

To solve for "i", we can start by subtracting 94 from both sides of the equation:

158 = ((19 * i) + 94)

Subtracting 94 from both sides gives us:

64 = 19 * i

Next, we can divide both sides of the equation by 19 to solve for "i":

64/19 = i

i = 64/19

i = 3.37 (approximately)

### Answer: 3.37

Expected answer: 64/19

Correct? No

Problem: Solve the following equation for 'q': 134 = ((30 * q) + 54)

Llama 3 70B:

To solve for 'q', I'll start by subtracting 54 from both sides of the equation:

134 = (30q + 54)

Subtracting 54 from both sides gives:

134 - 54 = 30q
80 = 30q

Next, I'll divide both sides by 30 to isolate 'q':

80 ÷ 30 = q
q = 80/30
q = 8/3
q = 2 2/3

### Answer: 2 2/3

Expected answer: 8/3

Correct? Yes

Problem: Solve the following linear equation to find the value of y: 94 = (27 + y)

Llama 3 70B:

To solve for y, we can subtract 27 from both sides of the equation:

94 = (27 + y)

Subtracting 27 from both sides gives us:

94 - 27 = y

67 = y

### Answer: 67

Expected answer: 67

Correct? Yes

Problem: Solve the following linear equation for the value of h: 9 = ((23 * h) - 70)

Llama 3 70B:

To solve for h, I'll start by adding 70 to both sides of the equation:

9 = (23h - 70)
9 + 70 = 23h - 70 + 70
79 = 23h

Next, I'll divide both sides of the equation by 23:

79 ÷ 23 = 23h ÷ 23
h = 79/23
h = 3.43 (approximately)

### Answer: 3.43

Expected answer: 79/23

Correct? No

Problem: Solve the following equation to find the value of t: 92 = 33 * t + 26

Llama 3 70B:

To solve for t, I'll subtract 26 from both sides of the equation:

92 - 26 = 33t + 26 - 26
66 = 33t

Next, I'll divide both sides by 33:

66 ÷ 33 = t
t = 2

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Solve the following linear equation to find the value of e: 123 = ((15 * e) + 29).

Llama 3 70B:

To solve for e, I'll start by subtracting 29 from both sides of the equation:

123 = (15e + 29)

Subtracting 29 from both sides gives:

94 = 15e

Next, I'll divide both sides by 15 to isolate e:

94/15 = e

e = 6.27 (approximately)

### Answer: 6.27

Expected answer: 94/15

Correct? No

Problem: Solve the following equation to find the value of 'k': 16 = ((75 * k) - 80)

Llama 3 70B:

To solve for 'k', we can start by adding 80 to both sides of the equation:

16 = ((75 * k) - 80)
16 + 80 = ((75 * k) - 80) + 80
96 = 75 * k

Next, we can divide both sides of the equation by 75 to isolate 'k':

96 / 75 = (75 * k) / 75
96 / 75 = k
k = 96 / 75
k = 1.28

### Answer: 1.28

Expected answer: 32/25

Correct? Yes

Problem: Solve for q in the following equation: 131 = ((5 * q) + 89)

Llama 3 70B:

To solve for q, we can start by subtracting 89 from both sides of the equation:

131 = (5q + 89)

Subtracting 89 from both sides gives us:

42 = 5q

Next, we can divide both sides of the equation by 5 to solve for q:

42/5 = q

q = 8.4

### Answer: 8.4

Expected answer: 42/5

Correct? Yes

Problem: Find the value of p that satisfies the following equation: 147 = ((38 * p) + 56)

Llama 3 70B:

To solve for p, we can start by subtracting 56 from both sides of the equation:

147 = (38p + 56)

Subtracting 56 from both sides gives:

147 - 56 = 38p
91 = 38p

Next, we can divide both sides of the equation by 38 to solve for p:

91 ÷ 38 = p
p = 91/38
p = 2.39

### Answer: 2.39

Expected answer: 91/38

Correct? No

Problem: Solve the following equation to find the value of 'j': 76 = 42 * j + 23

Llama 3 70B:

To solve for 'j', we can start by subtracting 23 from both sides of the equation:

76 = 42j + 23
76 - 23 = 42j + 23 - 23
53 = 42j

Next, we can divide both sides of the equation by 42 to isolate 'j':

53 = 42j
53/42 = j

j = 53/42
j = 1.26 (approximately)

### Answer: j ≈ 1.26

Expected answer: 53/42

Correct? No

Problem: Solve the following equation to find the value of 'l': 138 = 43 + 25 * l

Llama 3 70B:

To solve for 'l', I'll start by subtracting 43 from both sides of the equation:

138 - 43 = 25 * l
95 = 25 * l

Next, I'll divide both sides of the equation by 25:

95 / 25 = l
l = 95 / 25
l = 3.8

### Answer: 3.8

Expected answer: 19/5

Correct? Yes

Problem: Solve the following equation to find the unknown w: 80 = ((24 * w) + 35)

Llama 3 70B:

To solve for w, I'll start by subtracting 35 from both sides of the equation:

80 = (24w + 35)

Subtracting 35 from both sides gives:

80 - 35 = 24w
45 = 24w

Next, I'll divide both sides by 24 to isolate w:

45 ÷ 24 = w
w = 45/24
w = 1.875

### Answer: 1.875

Expected answer: 15/8

Correct? Yes

Problem: Solve the following linear equation to find the value of x: 77 = (33 + (14 * x))

Llama 3 70B:

To solve for x, I'll start by isolating the term with the variable x.

77 = (33 + (14 * x))

First, I'll subtract 33 from both sides of the equation to get:

44 = 14x

Next, I'll divide both sides of the equation by 14 to solve for x:

44/14 = x

x = 44/14

x = 3.14 (approximately)

### Answer: 3.14

Expected answer: 22/7

Correct? No

Problem: Solve the following linear equation to find the value of y: 110 = 12 + 88 * y

Llama 3 70B:

To solve for y, I'll subtract 12 from both sides of the equation:

110 = 12 + 88y
110 - 12 = 88y
98 = 88y

Next, I'll divide both sides by 88:

98/88 = y
y = 98/88
y = 1.1

### Answer: 1.1

Expected answer: 49/44

Correct? No

Problem: Solve the following linear equation for the variable 's': 179 = 82 * s + 80

Llama 3 70B:

To solve for 's', I'll start by subtracting 80 from both sides of the equation:

179 = 82s + 80
179 - 80 = 82s + 80 - 80
99 = 82s

Next, I'll divide both sides of the equation by 82:

99 = 82s
99/82 = 82s/82
1.2 = s

### Answer: 1.2

Expected answer: 99/82

Correct? No

Problem: Solve the following equation for m: 129 = 26 * m + 66

Llama 3 70B:

To solve for m, I'll subtract 66 from both sides of the equation:

129 = 26m + 66

Subtracting 66 from both sides gives:

129 - 66 = 26m
63 = 26m

Next, I'll divide both sides by 26 to isolate m:

63 ÷ 26 = m
m = 63/26
m = 2.42 (approximately)

### Answer: 2.42

Expected answer: 63/26

Correct? No

Problem: Solve the following linear equation for q: 82 = ((27 * q) - 17)

Llama 3 70B:

To solve for q, I'll start by adding 17 to both sides of the equation:

82 = (27q - 17)
82 + 17 = 27q - 17 + 17
99 = 27q

Next, I'll divide both sides of the equation by 27:

99 ÷ 27 = 27q ÷ 27
99/27 = q
3.66 = q

### Answer: 3.66

Expected answer: 11/3

Correct? No

Problem: Solve the following linear equation for the variable k: 141 = (64 + (22 * k))

Llama 3 70B:

To solve for k, I'll start by isolating the term with the variable k.

First, I'll subtract 64 from both sides of the equation:

141 - 64 = 22k
77 = 22k

Next, I'll divide both sides of the equation by 22 to solve for k:

77 ÷ 22 = k
k = 77/22
k = 7/2
k = 3.5

### Answer: 3.5

Expected answer: 7/2

Correct? Yes

Problem: Determine the value of 'v' by solving this linear equation: 175 = 91 + 45 * v

Llama 3 70B:

To solve for 'v', we can start by subtracting 91 from both sides of the equation:

175 = 91 + 45v
175 - 91 = 45v
84 = 45v

Next, we can divide both sides of the equation by 45 to isolate 'v':

84 ÷ 45 = v
v = 84/45
v = 1.867 (approximately)

### Answer: 1.867

Expected answer: 28/15

Correct? No

Problem: Solve the following equation for the value of k: 50 = ((63 * k) - 18)

Llama 3 70B:

To solve for k, I'll start by adding 18 to both sides of the equation:

50 = ((63 * k) - 18)
50 + 18 = ((63 * k) - 18) + 18
68 = 63k

Next, I'll divide both sides of the equation by 63:

68 = 63k
68/63 = k
k = 68/63

To simplify the fraction, I can divide both the numerator and the denominator by their greatest common divisor, which is 1:

k = 68/63

### Answer: 68/63

Expected answer: 68/63

Correct? Yes

Problem: Solve the following equation for l: 65 = ((8 * l) - 10)

Llama 3 70B:

To solve for l, I'll start by adding 10 to both sides of the equation:

65 = (8l - 10)
65 + 10 = 8l - 10 + 10
75 = 8l

Next, I'll divide both sides of the equation by 8:

75 ÷ 8 = 8l ÷ 8
9.375 = l

### Answer: 9.375

Expected answer: 75/8

Correct? Yes

Problem: Solve the following equation: 5 = ((10 * u) - 34)

Llama 3 70B:

To solve for u, I'll add 34 to both sides of the equation:

5 = ((10 * u) - 34)
5 + 34 = (10 * u) - 34 + 34
39 = 10 * u

Next, I'll divide both sides by 10:

39 / 10 = (10 * u) / 10
3.9 = u

### Answer: 3.9

Expected answer: 39/10

Correct? Yes

Problem: Solve the following problem in linear equations for variable 'a': 91 = 9 * a + 61

Llama 3 70B:

To solve for 'a', we can subtract 61 from both sides of the equation:

91 = 9a + 61

Subtracting 61 from both sides gives:

91 - 61 = 9a
30 = 9a

Next, we can divide both sides by 9 to solve for 'a':

30/9 = a
a = 30/9
a = 10/3

### Answer: 10/3

Expected answer: 10/3

Correct? Yes

Problem: Solve the following linear equation for the variable i: 157 = 53 * i + 61

Llama 3 70B:

To solve for i, I'll subtract 61 from both sides of the equation:

157 = 53i + 61

Subtracting 61 from both sides gives:

157 - 61 = 53i
96 = 53i

Next, I'll divide both sides by 53 to isolate i:

96 ÷ 53 = i
i = 96/53
i = 1.83

### Answer: 1.83

Expected answer: 96/53

Correct? No

Problem: Solve the following linear equation for the value of q: 71 = ((24 * q) + 14)

Llama 3 70B:

To solve for q, I'll start by subtracting 14 from both sides of the equation:

71 = (24q + 14)

Subtracting 14 from both sides gives:

71 - 14 = 24q
57 = 24q

Next, I'll divide both sides by 24 to isolate q:

57 ÷ 24 = q
q = 57/24
q = 2.375

### Answer: 2.375

Expected answer: 19/8

Correct? Yes

Problem: Solve the following linear equation for the value of i: 163 = 96 + 14 * i

Llama 3 70B:

To solve for i, I'll subtract 96 from both sides of the equation:

163 - 96 = 14i
67 = 14i

Next, I'll divide both sides by 14 to isolate i:

67/14 = i
i = 67/14
i = 4 11/14

### Answer: 4 11/14

Expected answer: 67/14

Correct? Yes

Problem: Solve the following linear equation for the value of e: 59 = (70 * e) - 23

Llama 3 70B:

To solve for e, I'll add 23 to both sides of the equation:

59 = (70 * e) - 23
59 + 23 = (70 * e) - 23 + 23
82 = 70 * e

Next, I'll divide both sides by 70:

82 / 70 = (70 * e) / 70
82 / 70 = e
1.17 = e

### Answer: 1.17

Expected answer: 41/35

Correct? No

Problem: Solve the following linear equation for o: 147 = 36 * o + 74

Llama 3 70B:

To solve for o, I'll subtract 74 from both sides of the equation:

147 = 36o + 74

Subtracting 74 from both sides gives:

147 - 74 = 36o
73 = 36o

Next, I'll divide both sides by 36 to isolate o:

73 ÷ 36 = o
o = 73/36
o = 2.03 (approximately)

### Answer: 2.03

Expected answer: 73/36

Correct? No

Problem: Solve the following equation: 71 = 93 - (13 * d)

Llama 3 70B:

To solve for d, I'll start by subtracting 93 from both sides of the equation:

71 = 93 - (13 * d)

Subtracting 93 from both sides gives:

-22 = -13d

Next, I'll divide both sides by -13 to solve for d:

d = -22 / -13

d = 22/13

d = 1 9/13

### Answer: 1 9/13

Expected answer: 22/13

Correct? Yes

Problem: Solve the following equation to find the value of n: 118 = 64 + 6 * n

Llama 3 70B:

To solve for n, I'll start by subtracting 64 from both sides of the equation:

118 - 64 = 6n
54 = 6n

Next, I'll divide both sides of the equation by 6:

54/6 = n
9 = n

### Answer: 9

Expected answer: 9

Correct? Yes

Problem: Solve the following equation to find the value of 'd': 61 = ((5 * d) - 7)

Llama 3 70B:

To solve for 'd', we can start by adding 7 to both sides of the equation:

61 = ((5 * d) - 7)
61 + 7 = (5 * d) - 7 + 7
68 = 5 * d

Next, we can divide both sides of the equation by 5 to isolate 'd':

68 / 5 = (5 * d) / 5
68 / 5 = d
13.6 = d

### Answer: 13.6

Expected answer: 68/5

Correct? Yes

Problem: Solve the following linear equation for the value of z: 79 = ((8 * z) - 18)

Llama 3 70B:

To solve for z, I'll start by adding 18 to both sides of the equation to get:

79 + 18 = 8z - 18 + 18
97 = 8z

Next, I'll divide both sides of the equation by 8 to solve for z:

97 ÷ 8 = z
z = 97 ÷ 8
z = 12.125

### Answer: 12.125

Expected answer: 97/8

Correct? Yes

Problem: Solve the following linear equation for the value of z: 129 = ((2 * z) + 63)

Llama 3 70B:

To solve for z, I'll start by isolating the term with the variable z.

129 = (2 * z) + 63

Subtract 63 from both sides of the equation to get:

129 - 63 = 2 * z
66 = 2 * z

Next, divide both sides of the equation by 2 to solve for z:

66 ÷ 2 = z
z = 33

### Answer: 33

Expected answer: 33

Correct? Yes

Problem: Solve the following linear equation for e: 127 = (29 + (32 * e))

Llama 3 70B:

To solve for e, I'll start by isolating the term with the variable e.

127 = (29 + (32 * e))

First, I'll subtract 29 from both sides of the equation to get:

98 = 32 * e

Next, I'll divide both sides of the equation by 32 to solve for e:

e = 98 / 32

e = 98 ÷ 32

e = 3.0625

### Answer: 3.0625

Expected answer: 49/16

Correct? Yes

Problem: Solve the following linear equation for the value of x: 30 = ((50 * x) - 35)

Llama 3 70B:

To solve for x, I'll start by adding 35 to both sides of the equation:

30 = (50x - 35)
30 + 35 = 50x - 35 + 35
65 = 50x

Next, I'll divide both sides of the equation by 50:

65/50 = x
1.3 = x

### Answer: 1.3

Expected answer: 13/10

Correct? Yes

Problem: Solve the following equation for x: 66 = 9 + 10 * x

Llama 3 70B:

To solve for x, I'll start by subtracting 9 from both sides of the equation:

66 = 9 + 10x
66 - 9 = 10x
57 = 10x

Next, I'll divide both sides of the equation by 10:

57 ÷ 10 = x
x = 57 ÷ 10
x = 5.7

### Answer: 5.7

Expected answer: 57/10

Correct? Yes

Problem: Solve the following algebraic equation for the unknown variable a: 103 = ((38 * a) + 51)

Llama 3 70B:

To solve for the unknown variable a, we can start by subtracting 51 from both sides of the equation:

103 = (38a + 51)

Subtracting 51 from both sides gives:

103 - 51 = 38a
52 = 38a

Next, we can divide both sides of the equation by 38 to solve for a:

52/38 = a
a = 52/38
a = 4/3

### Answer: 4/3

Expected answer: 26/19

Correct? No

Problem: Determine the value of f in the following equation: 105 = 28 * f + 8

Llama 3 70B:

To solve for f, we can subtract 8 from both sides of the equation:

105 - 8 = 28 * f
97 = 28 * f

Next, we can divide both sides of the equation by 28:

97 / 28 = f
f = 97 / 28
f = 3.46 (approximately)

### Answer: 3.46

Expected answer: 97/28

Correct? No

Problem: Solve the linear equation for u: 12 = 63 - 50 * u

Llama 3 70B:

To solve for u, I'll start by subtracting 63 from both sides of the equation:

12 - 63 = -50u

This simplifies to:

-51 = -50u

Next, I'll divide both sides by -50 to isolate u:

u = -51 / -50

u = 51/50

### Answer: 51/50

Expected answer: 51/50

Correct? Yes

Problem: Solve the following equation for the value of 'b': 60 = 42 + (10 * b)

Llama 3 70B:

To solve for 'b', I'll start by subtracting 42 from both sides of the equation:

60 = 42 + (10 * b)
60 - 42 = 42 - 42 + (10 * b)
18 = 10 * b

Next, I'll divide both sides of the equation by 10 to isolate 'b':

18 / 10 = (10 * b) / 10
1.8 = b

### Answer: 1.8

Expected answer: 9/5

Correct? Yes

Problem: Solve the following linear equation for the variable 'j': 84 = ((25 * j) + 13)

Llama 3 70B:

To solve for 'j', we can start by subtracting 13 from both sides of the equation:

84 = (25j + 13)
84 - 13 = 25j + 13 - 13
71 = 25j

Next, we can divide both sides of the equation by 25 to isolate 'j':

71 ÷ 25 = 25j ÷ 25
71/25 = j
2.84 = j

### Answer: 2.84

Expected answer: 71/25

Correct? Yes

Problem: Solve the following linear equation for s: 153 = 91 + 5 * s

Llama 3 70B:

To solve for s, I'll subtract 91 from both sides of the equation:

153 = 91 + 5s
153 - 91 = 5s
62 = 5s

Next, I'll divide both sides by 5 to isolate s:

62/5 = s
s = 12.4

### Answer: 12.4

Expected answer: 62/5

Correct? Yes

Problem: Solve for g in the following equation: 65 = (22 + (30 * g))

Llama 3 70B:

To solve for g, we can start by isolating the term with the variable g.

65 = (22 + (30 * g))

First, subtract 22 from both sides of the equation to get:

43 = 30 * g

Next, divide both sides of the equation by 30 to solve for g:

g = 43 / 30

g = 1.433...

### Answer: 1.433...

Expected answer: 43/30

Correct? No

Problem: Solve the following linear equation for the value of f: 96 = ((29 * f) + 10)

Llama 3 70B:

To solve for f, I'll start by subtracting 10 from both sides of the equation:

96 = (29f + 10)
96 - 10 = 29f + 10 - 10
86 = 29f

Next, I'll divide both sides of the equation by 29:

86 = 29f
86/29 = 29f/29
f = 86/29
f = 3

### Answer: 3

Expected answer: 86/29

Correct? No

Problem: Solve the following equation for the variable q: 80 = (19 + (14 * q))

Llama 3 70B:

To solve for q, I'll start by isolating the term with the variable q.

First, I'll subtract 19 from both sides of the equation to get:

80 - 19 = 14q
61 = 14q

Next, I'll divide both sides of the equation by 14 to solve for q:

61 ÷ 14 = q
q = 61/14
q = 4 3/14

### Answer: q = 4 3/14

Expected answer: 61/14

Correct? No

Problem: Solve the following linear equation for the variable 'm': 145 = 95 + 46 * m

Llama 3 70B:

To solve for 'm', I'll subtract 95 from both sides of the equation:

145 - 95 = 46m
50 = 46m

Next, I'll divide both sides by 46 to isolate 'm':

50/46 = m
m = 50/46
m = 25/23

### Answer: 25/23

Expected answer: 25/23

Correct? Yes

Problem: Solve the following equation for the value of 'i': 68 = 13 + 6 * i

Llama 3 70B:

To solve for 'i', we can start by subtracting 13 from both sides of the equation:

68 = 13 + 6 * i
68 - 13 = 6 * i
55 = 6 * i

Next, we can divide both sides of the equation by 6 to isolate 'i':

55 ÷ 6 = i
i = 55 ÷ 6
i = 9.17 (approximately)

### Answer: 9.17

Expected answer: 55/6

Correct? No

Problem: Solve the following equation for the value of h: 25 = ((74 * h) - 61)

Llama 3 70B:

To solve for h, I'll start by adding 61 to both sides of the equation:

25 = (74h - 61)
25 + 61 = 74h - 61 + 61
86 = 74h

Next, I'll divide both sides of the equation by 74:

86 ÷ 74 = 74h ÷ 74
1.16 = h

### Answer: 1.16

Expected answer: 43/37

Correct? No

Problem: Solve the following linear equation for the value of q: 51 = ((6 * q) - 30)

Llama 3 70B:

To solve for q, I'll start by adding 30 to both sides of the equation to get:

51 + 30 = 6q - 30 + 30
81 = 6q

Next, I'll divide both sides of the equation by 6 to solve for q:

81 ÷ 6 = q
q = 81 ÷ 6
q = 13.5

### Answer: 13.5

Expected answer: 27/2

Correct? Yes

Problem: Find the value of r in the following linear equation: 38 = 81 - 36 * r

Llama 3 70B:

To solve for r, I'll start by subtracting 81 from both sides of the equation:

38 - 81 = -36r
-43 = -36r

Next, I'll divide both sides by -36:

r = -43 / -36
r = 43/36

### Answer: 43/36

Expected answer: 43/36

Correct? Yes

Problem: Solve the following equation: 90 = (23 + (56 * a))

Llama 3 70B:

To solve for 'a', we can start by isolating the term with the variable 'a'.

90 = (23 + (56 * a))

Subtract 23 from both sides:

67 = 56a

Now, divide both sides by 56:

a = 67/56

a = 1.2

### Answer: 1.2

Expected answer: 67/56

Correct? No

Problem: Solve the following linear equation for the unknown variable h: 81 = 13 + 30 * h

Llama 3 70B:

To solve for h, I'll subtract 13 from both sides of the equation:

81 = 13 + 30h
81 - 13 = 30h
68 = 30h

Next, I'll divide both sides by 30 to isolate h:

68 ÷ 30 = h
h = 68 ÷ 30
h = 2.27

### Answer: 2.27

Expected answer: 34/15

Correct? No

Problem: Solve the following linear equation for the value of m: 160 = ((62 * m) + 69)

Llama 3 70B:

To solve for m, I'll start by subtracting 69 from both sides of the equation:

160 = (62m + 69)
160 - 69 = 62m
91 = 62m

Next, I'll divide both sides of the equation by 62 to isolate m:

91 ÷ 62 = m
m = 91/62
m = 1.47 (approximately)

### Answer: 1.47

Expected answer: 91/62

Correct? No

Problem: Solve the following equation to find the value of q: 100 = 69 + 28 * q

Llama 3 70B:

To solve for q, I'll start by subtracting 69 from both sides of the equation:

100 = 69 + 28 * q
100 - 69 = 28 * q
31 = 28 * q

Next, I'll divide both sides of the equation by 28:

31 ÷ 28 = q
q = 31/28

### Answer: 31/28

Expected answer: 31/28

Correct? Yes

Problem: Solve the following linear equation to find the value of w: 192 = ((98 * w) + 94)

Llama 3 70B:

To solve for w, I'll start by subtracting 94 from both sides of the equation:

192 = (98w + 94)
192 - 94 = 98w
98 = 98w

Next, I'll divide both sides of the equation by 98:

98/98 = w
1 = w

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Solve the following equation to find the value of y: 40 = 93 - 33 * y

Llama 3 70B:

To solve for y, I'll start by isolating the term with the variable y.

First, I'll subtract 93 from both sides of the equation to get:

-53 = -33y

Next, I'll divide both sides of the equation by -33 to solve for y:

y = -53 / -33

y = 53/33

y = 1 2/3

### Answer: 1 2/3

Expected answer: 53/33

Correct? No

Problem: Solve for the unknown variable u in the following linear equation: 74 = ((48 * u) - 20)

Llama 3 70B:

To solve for the unknown variable u, we can start by adding 20 to both sides of the equation:

74 = (48u - 20)
74 + 20 = 48u - 20 + 20
94 = 48u

Next, we can divide both sides of the equation by 48 to isolate u:

94 ÷ 48 = 48u ÷ 48
u = 94/48
u = 1.958333...

### Answer: u = 1.958333...

Expected answer: 47/24

Correct? No

Problem: Solve the following equation for the variable f: 13 = ((86 * f) - 76)

Llama 3 70B:

To solve for f, I'll start by adding 76 to both sides of the equation:

13 = ((86 * f) - 76)
13 + 76 = 86 * f
89 = 86 * f

Next, I'll divide both sides of the equation by 86:

89 / 86 = f
f = 89 / 86
f = 1.079

### Answer: 1.079

Expected answer: 89/86

Correct? No

Problem: Solve the following equation for c: 122 = (36 + (56 * c))

Llama 3 70B:

To solve for c, I'll start by isolating the term with the variable c.

122 = (36 + (56 * c))

First, I'll subtract 36 from both sides of the equation to get:

122 - 36 = 56 * c
86 = 56 * c

Next, I'll divide both sides of the equation by 56 to solve for c:

86 ÷ 56 = c
c = 86/56
c = 1.54

### Answer: 1.54

Expected answer: 43/28

Correct? No

Problem: Solve the following linear equation for the unknown quantity q: 186 = 99 + 81 * q

Llama 3 70B:

To solve for q, I'll subtract 99 from both sides of the equation:

186 = 99 + 81 * q

Subtracting 99 from both sides gives:

186 - 99 = 81 * q

87 = 81 * q

Next, I'll divide both sides by 81 to isolate q:

87 / 81 = q

q = 87/81

q = 29/27

### Answer: 29/27

Expected answer: 29/27

Correct? Yes

Problem: Find the value of 'u' in the following equation: 120 = ((42 * u) + 77)

Llama 3 70B:

To solve for 'u', we can start by subtracting 77 from both sides of the equation:

120 = (42u + 77)

Subtracting 77 from both sides gives:

120 - 77 = 42u
43 = 42u

Next, we can divide both sides by 42 to solve for 'u':

43/42 = u

u = 43/42

### Answer: 43/42

Expected answer: 43/42

Correct? Yes

Problem: Solve the following equation to find the value of j: 103 = (52 + (6 * j))

Llama 3 70B:

To solve for j, we can start by isolating the term with the variable j.

103 = (52 + (6 * j))

First, subtract 52 from both sides of the equation to get:

51 = 6j

Next, divide both sides of the equation by 6 to solve for j:

j = 51/6

j = 8.5

### Answer: 8.5

Expected answer: 17/2

Correct? Yes

Problem: Solve the following linear equation for the value of n: 56 = (82 - (4 * n))

Llama 3 70B:

To solve for n, I'll start by using the distributive property to expand the parentheses:

56 = 82 - 4n

Next, I'll subtract 82 from both sides of the equation to get:

-26 = -4n

Then, I'll divide both sides of the equation by -4 to solve for n:

n = -26 / -4
n = 6.5

### Answer: 6.5

Expected answer: 13/2

Correct? Yes

Problem: Solve the following linear equation for m: 77 = 14 + 60 * m

Llama 3 70B:

To solve for m, I'll subtract 14 from both sides of the equation:

77 = 14 + 60m
77 - 14 = 60m
63 = 60m

Next, I'll divide both sides by 60:

63 ÷ 60 = m
m = 63/60
m = 1.05

### Answer: 1.05

Expected answer: 21/20

Correct? Yes

Problem: Solve the following linear equation for the variable 'e': 31 = 17 + e

Llama 3 70B:

To solve for 'e', I'll subtract 17 from both sides of the equation:

31 = 17 + e

Subtracting 17 from both sides gives:

31 - 17 = e

This simplifies to:

14 = e

### Answer: 14

Expected answer: 14

Correct? Yes

Problem: Find the value of x that solves the following equation: 2 = 81 - (15 * x)

Llama 3 70B:

To solve for x, I'll start by isolating the term with the variable x.

2 = 81 - (15 * x)

First, I'll subtract 81 from both sides of the equation to get:

-79 = - (15 * x)

Next, I'll divide both sides of the equation by -15 to solve for x:

x = -79 / -15

x = 79/15

x = 5 4/15

### Answer: 5 4/15

Expected answer: 79/15

Correct? Yes

Problem: Solve the following equation for the value of e: 177 = 88 + 6 * e.

Llama 3 70B:

To solve for e, I'll start by subtracting 88 from both sides of the equation:

177 = 88 + 6e
177 - 88 = 6e
89 = 6e

Next, I'll divide both sides of the equation by 6 to isolate e:

89 ÷ 6 = e
e = 89/6
e = 14.83

### Answer: 14.83

Expected answer: 89/6

Correct? No

Problem: Solve the following equation to find the value of 'r': 95 = 3*r + 15

Llama 3 70B:

To solve for 'r', we can subtract 15 from both sides of the equation:

95 = 3r + 15

Subtracting 15 from both sides gives:

95 - 15 = 3r
80 = 3r

Next, we can divide both sides of the equation by 3 to solve for 'r':

80 ÷ 3 = r
r = 26.67

### Answer: 26.67

Expected answer: 80/3

Correct? No

Problem: Solve the following linear equation for the value of v: 154 = (70 + (31 * v))

Llama 3 70B:

To solve for v, I'll start by isolating the term with the variable v.

First, I'll subtract 70 from both sides of the equation:

154 - 70 = 70 + (31 * v) - 70
84 = 31 * v

Next, I'll divide both sides of the equation by 31 to solve for v:

84 / 31 = (31 * v) / 31
v = 84 / 31
v = 2.71 (approximately)

### Answer: 2.71

Expected answer: 84/31

Correct? No

Problem: Solve the following equation for the value of r: 179 = ((70 * r) + 87)

Llama 3 70B:

To solve for r, I'll start by subtracting 87 from both sides of the equation:

179 = (70r + 87)

Subtracting 87 from both sides gives:

92 = 70r

Next, I'll divide both sides by 70 to isolate r:

92/70 = r

r = 92/70

r = 1.3

### Answer: 1.3

Expected answer: 46/35

Correct? No

Problem: Solve the following equation to find the value of r: 93 = ((19 * r) + 2)

Llama 3 70B:

To solve for r, I'll start by subtracting 2 from both sides of the equation:

93 = (19r + 2)
93 - 2 = 19r + 2 - 2
91 = 19r

Next, I'll divide both sides of the equation by 19:

91 ÷ 19 = 19r ÷ 19
91/19 = r
r = 91/19
r = 4.79 (approximately)

### Answer: 4.79

Expected answer: 91/19

Correct? No

Problem: Solve the following linear equation for the value of z: 20 = (67 - (37 * z))

Llama 3 70B:

To solve for z, I'll start by isolating the term with z on the right-hand side of the equation:

20 = 67 - (37 * z)

First, I'll subtract 67 from both sides to get:

-47 = - (37 * z)

Next, I'll divide both sides by -37 to solve for z:

z = 47 / 37

z = 1.27

### Answer: 1.27

Expected answer: 47/37

Correct? No

Problem: Solve the following linear equation for m: 65 = ((25 * m) + 15)

Llama 3 70B:

To solve for m, I'll start by subtracting 15 from both sides of the equation:

65 = (25m + 15)
65 - 15 = 25m + 15 - 15
50 = 25m

Next, I'll divide both sides of the equation by 25:

50/25 = 25m/25
2 = m

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Solve the following linear equation for g: 79 = ((6 * g) + 19)

Llama 3 70B:

To solve for g, I'll start by subtracting 19 from both sides of the equation:

79 = (6g + 19)
79 - 19 = 6g + 19 - 19
60 = 6g

Next, I'll divide both sides of the equation by 6:

60/6 = 6g/6
10 = g

### Answer: 10

Expected answer: 10

Correct? Yes

Problem: Solve the following linear equation for the variable 'l': 30 = ((56 * l) - 45)

Llama 3 70B:

To solve for 'l', I'll start by adding 45 to both sides of the equation:

30 = ((56 * l) - 45)
30 + 45 = ((56 * l) - 45) + 45
75 = 56 * l

Next, I'll divide both sides of the equation by 56:

75 = 56 * l
75 / 56 = (56 * l) / 56
75 / 56 = l

Now, I'll simplify the fraction:

l = 75 / 56
l = 1.339285714285714 (approximately)

### Answer: l ≈ 1.34

Expected answer: 75/56

Correct? No

Problem: Solve the following equation to find the value of j: 57 = ((11 * j) + 4)

Llama 3 70B:

To solve for j, we can start by subtracting 4 from both sides of the equation:

57 = ((11 * j) + 4)
57 - 4 = (11 * j)
53 = 11j

Next, we can divide both sides of the equation by 11 to solve for j:

53 ÷ 11 = j
j = 53 ÷ 11
j = 4.8181... (but since j is likely an integer, we'll round down to 4)

### Answer: 4

Expected answer: 53/11

Correct? No

Problem: Solve the following equation to find the value of 'f': 36 = 34 * f - 56

Llama 3 70B:

To solve for 'f', I'll add 56 to both sides of the equation:

36 = 34f - 56
36 + 56 = 34f - 56 + 56
92 = 34f

Next, I'll divide both sides by 34:

92 ÷ 34 = 34f ÷ 34
f = 92/34
f = 2.588...

### Answer: f ≈ 2.59

Expected answer: 46/17

Correct? No

Problem: Solve the following linear equation to find the value of 'u': 56 = (70 * u) - 43

Llama 3 70B:

To solve for 'u', I'll add 43 to both sides of the equation:

56 = (70 * u) - 43
56 + 43 = (70 * u) - 43 + 43
99 = 70u

Next, I'll divide both sides by 70:

99 ÷ 70 = 70u ÷ 70
1.4 = u

### Answer: 1.4

Expected answer: 99/70

Correct? No

Problem: Solve the following equation for the variable x: 67 = 21 + 9*x

Llama 3 70B:

To solve for x, I'll subtract 21 from both sides of the equation:

67 = 21 + 9x
67 - 21 = 9x
46 = 9x

Next, I'll divide both sides by 9 to isolate x:

46 ÷ 9 = x
x = 46/9
x = 5 1/9

### Answer: 5 1/9

Expected answer: 46/9

Correct? Yes

Problem: Determine the unknown variable in the following equation: 75 = (58 + 16 * i)

Llama 3 70B:

To solve for the unknown variable i, we can start by isolating the term with the variable:

75 = 58 + 16i

Subtract 58 from both sides:

17 = 16i

Now, divide both sides by 16:

i = 17/16

### Answer: 17/16

Expected answer: 17/16

Correct? Yes

Problem: Solve for x in the following equation: 111 = (54 + (39 * x))

Llama 3 70B:

To solve for x, I'll start by isolating the term with the variable x.

First, I'll subtract 54 from both sides of the equation:

111 - 54 = 54 + (39 * x) - 54
57 = 39 * x

Next, I'll divide both sides of the equation by 39 to solve for x:

57 ÷ 39 = x
x = 57 ÷ 39
x = 1.46 (approximately)

### Answer: 1.46

Expected answer: 19/13

Correct? No

Problem: Solve the following equation to find the value of 'o': 155 = ((26 * o) + 68)

Llama 3 70B:

To solve for 'o', we can start by subtracting 68 from both sides of the equation:

155 = (26 * o) + 68

Subtracting 68 from both sides gives us:

155 - 68 = 26 * o

This simplifies to:

87 = 26 * o

Next, we can divide both sides of the equation by 26 to solve for 'o':

87 ÷ 26 = o

This gives us:

o = 87 ÷ 26
o = 3.35

### Answer: 3.35

Expected answer: 87/26

Correct? No

Problem: Solve for p in the following equation: 7 = ((12 * p) - 17)

Llama 3 70B:

To solve for p, we can start by adding 17 to both sides of the equation:

7 = ((12 * p) - 17)
7 + 17 = ((12 * p) - 17) + 17
24 = 12p

Next, we can divide both sides of the equation by 12 to isolate p:

24 = 12p
24/12 = p
2 = p

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: Solve the following problem: What is the value of the variable 'b' if 163 = 93 + 55 * b?

Llama 3 70B:

To solve for 'b', we can start by subtracting 93 from both sides of the equation:

163 = 93 + 55b
163 - 93 = 55b
70 = 55b

Next, we can divide both sides of the equation by 55 to isolate 'b':

70/55 = b
b = 70/55
b = 14/11

### Answer: 14/11

Expected answer: 14/11

Correct? Yes

Problem: Solve the linear equation for the value of 'u': 62 = (u - 26)

Llama 3 70B:

To solve for 'u', we can add 26 to both sides of the equation:

62 = (u - 26)

Adding 26 to both sides gives:

62 + 26 = u - 26 + 26

This simplifies to:

88 = u

### Answer: 88

Expected answer: 88

Correct? Yes

Problem: Solve the following equation for the variable a: 179 = ((63 * a) + 93)

Llama 3 70B:

To solve for the variable a, we can start by subtracting 93 from both sides of the equation:

179 = ((63 * a) + 93)

Subtracting 93 from both sides gives us:

179 - 93 = (63 * a)

This simplifies to:

86 = 63a

Next, we can divide both sides of the equation by 63 to solve for a:

86/63 = a

This simplifies to:

a = 86/63

a = 1.37 (approximately)

### Answer: 1.37

Expected answer: 86/63

Correct? No

Problem: Find the value of c in the equation: 51 = ((27 * c) - 11)

Llama 3 70B:

To solve for c, we can start by adding 11 to both sides of the equation:

51 = ((27 * c) - 11)
51 + 11 = 27 * c
62 = 27 * c

Next, we can divide both sides of the equation by 27:

62 ÷ 27 = c
c = 62 ÷ 27
c = 2.26 (approximately)

### Answer: 2.26

Expected answer: 62/27

Correct? No

Problem: Solve the following equation for 'd': 19 = ((28 * d) - 18)

Llama 3 70B:

To solve for 'd', I'll start by adding 18 to both sides of the equation:

19 = ((28 * d) - 18)
19 + 18 = (28 * d) - 18 + 18
37 = 28d

Next, I'll divide both sides of the equation by 28:

37 = 28d
37/28 = d

d = 37/28
d = 1 9/28

### Answer: 1 9/28

Expected answer: 37/28

Correct? Yes

Problem: Solve the following linear equation for the value of e: 159 = ((47 * e) + 62)

Llama 3 70B:

To solve for e, I'll start by subtracting 62 from both sides of the equation:

159 = (47e + 62)
159 - 62 = 47e
97 = 47e

Next, I'll divide both sides of the equation by 47 to isolate e:

97 ÷ 47 = e
e = 97 ÷ 47
e = 2.06

### Answer: 2.06

Expected answer: 97/47

Correct? No

Problem: Solve the following linear equation for the variable g: 145 = (50 + (91 * g))

Llama 3 70B:

To solve for g, I'll start by isolating the term with the variable g.

First, I'll subtract 50 from both sides of the equation:

145 - 50 = 50 + (91 * g) - 50
95 = 91 * g

Next, I'll divide both sides of the equation by 91 to solve for g:

95 / 91 = (91 * g) / 91
95 / 91 = g

g = 95 / 91
g = 1.044

### Answer: 1.044

Expected answer: 95/91

Correct? No

Problem: Solve the following linear equation for the value of l: 123 = ((44 * l) + 73)

Llama 3 70B:

To solve for l, I'll start by subtracting 73 from both sides of the equation:

123 = (44l + 73)

Subtracting 73 from both sides gives:

123 - 73 = 44l
50 = 44l

Next, I'll divide both sides by 44 to isolate l:

50/44 = l
l = 50/44
l = 1.13636... (approximately)

### Answer: l ≈ 1.13636...

Expected answer: 25/22

Correct? No

Problem: Solve the following equation: 165 = ((19 * q) + 75)

Llama 3 70B:

To solve for q, I'll start by subtracting 75 from both sides of the equation:

165 = (19q + 75)

Subtracting 75 from both sides gives:

165 - 75 = 19q
90 = 19q

Next, I'll divide both sides by 19 to solve for q:

90 ÷ 19 = q
q = 90/19
q = 4.74 (approximately)

### Answer: q ≈ 4.74

Expected answer: 90/19

Correct? No

Problem: Solve the following linear equation to find the value of g: 149 = ((18 * g) + 62)

Llama 3 70B:

To solve for g, I'll start by subtracting 62 from both sides of the equation:

149 = (18g + 62)
149 - 62 = 18g
87 = 18g

Next, I'll divide both sides of the equation by 18 to isolate g:

87 ÷ 18 = g
g = 87 ÷ 18
g = 4.83

### Answer: 4.83

Expected answer: 29/6

Correct? No

Problem: Solve the following linear equation for the variable d: 84 = 20 * d + 21

Llama 3 70B:

To solve for d, I'll subtract 21 from both sides of the equation:

84 = 20d + 21
84 - 21 = 20d
63 = 20d

Next, I'll divide both sides by 20:

63 ÷ 20 = d
d = 63/20
d = 3.15

### Answer: 3.15

Expected answer: 63/20

Correct? Yes

Problem: Solve the following equation to find the value of g: 61 = (50 + (6 * g))

Llama 3 70B:

To solve for g, I'll start by isolating the term with the variable g.

61 = 50 + (6 * g)

First, I'll subtract 50 from both sides of the equation to get:

11 = 6 * g

Next, I'll divide both sides of the equation by 6 to solve for g:

11/6 = g

g = 11/6

### Answer: 11/6

Expected answer: 11/6

Correct? Yes

Problem: Solve the following linear equation for the unknown variable v: 126 = ((21 * v) + 76)

Llama 3 70B:

To solve for v, I'll start by subtracting 76 from both sides of the equation:

126 = (21v + 76)

Subtracting 76 from both sides gives:

126 - 76 = 21v
50 = 21v

Next, I'll divide both sides by 21 to isolate v:

50/21 = v

v = 50/21

### Answer: 50/21

Expected answer: 50/21

Correct? Yes

Problem: Solve the following linear equation for g: 74 = ((91 * g) - 24)

Llama 3 70B:

To solve for g, I'll start by adding 24 to both sides of the equation:

74 = ((91 * g) - 24)
74 + 24 = 91 * g
98 = 91 * g

Next, I'll divide both sides of the equation by 91:

98 / 91 = g
g = 98 / 91

g = 1.08

### Answer: 1.08

Expected answer: 14/13

Correct? No